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Simplifying (8 + -1x)(x + -3) = (6 + -1x)(x + -4) Reorder the terms: (8 + -1x)(-3 + x) = (6 + -1x)(x + -4) Multiply (8 + -1x) * (-3 + x) (8(-3 + x) + -1x * (-3 + x)) = (6 + -1x)(x + -4) ((-3 * 8 + x * 8) + -1x * (-3 + x)) = (6 + -1x)(x + -4) ((-24 + 8x) + -1x * (-3 + x)) = (6 + -1x)(x + -4) (-24 + 8x + (-3 * -1x + x * -1x)) = (6 + -1x)(x + -4) (-24 + 8x + (3x + -1x2)) = (6 + -1x)(x + -4) Combine like terms: 8x + 3x = 11x (-24 + 11x + -1x2) = (6 + -1x)(x + -4) Reorder the terms: -24 + 11x + -1x2 = (6 + -1x)(-4 + x) Multiply (6 + -1x) * (-4 + x) -24 + 11x + -1x2 = (6(-4 + x) + -1x * (-4 + x)) -24 + 11x + -1x2 = ((-4 * 6 + x * 6) + -1x * (-4 + x)) -24 + 11x + -1x2 = ((-24 + 6x) + -1x * (-4 + x)) -24 + 11x + -1x2 = (-24 + 6x + (-4 * -1x + x * -1x)) -24 + 11x + -1x2 = (-24 + 6x + (4x + -1x2)) Combine like terms: 6x + 4x = 10x -24 + 11x + -1x2 = (-24 + 10x + -1x2) Add '24' to each side of the equation. -24 + 11x + 24 + -1x2 = -24 + 10x + 24 + -1x2 Reorder the terms: -24 + 24 + 11x + -1x2 = -24 + 10x + 24 + -1x2 Combine like terms: -24 + 24 = 0 0 + 11x + -1x2 = -24 + 10x + 24 + -1x2 11x + -1x2 = -24 + 10x + 24 + -1x2 Reorder the terms: 11x + -1x2 = -24 + 24 + 10x + -1x2 Combine like terms: -24 + 24 = 0 11x + -1x2 = 0 + 10x + -1x2 11x + -1x2 = 10x + -1x2 Add 'x2' to each side of the equation. 11x + -1x2 + x2 = 10x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 11x + 0 = 10x + -1x2 + x2 11x = 10x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 11x = 10x + 0 11x = 10x Solving 11x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 1x = 10x + -10x Combine like terms: 10x + -10x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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